21854353278240 has 576 divisors, whose sum is σ = 87784435065600. Its totient is φ = 4948583915520.

The previous prime is 21854353278227. The next prime is 21854353278337. The reversal of 21854353278240 is 4287235345812.

21854353278240 is a `hidden beast` number, since 2 + 1 + 8 + 543 + 5 + 3 + 2 + 78 + 24 + 0 = 666.

It is a super-2 number, since 2×21854353278240² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52642680 + ... + 53056200.

It is an arithmetic number, because the mean of its divisors is an integer number (152403533100).

Almost surely, 2^{21854353278240} is an apocalyptic number.

21854353278240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21854353278240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43892217532800).

21854353278240 is an abundant number, since it is smaller than the sum of its proper divisors (65930081787360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21854353278240 is a wasteful number, since it uses less digits than its factorization.

21854353278240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413670 (or 413645 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 21854353278240 in words is "twenty-one trillion, eight hundred fifty-four billion, three hundred fifty-three million, two hundred seventy-eight thousand, two hundred forty".